Baryon resonances on the lattice : the P-wave nucleon-pion scattering amplitude in the Δ (1232) channel / by Gorgio Silvi, M.Sc. Wuppertal, 2021
Inhalt
- Leere Seite
- ABSTRACT
- ACKNOWLEDGMENT
- LIST OF TABLES
- LIST OF FIGURES
- Dedication Page
- 1 Introduction
- 2 Resonances
- 2.1 The delta(1232) baryon resonace
- 2.2 Quantum mechanical scattering
- 2.3 Partial waves and S-matrix
- 2.4 Pole structure
- 2.5 K-matrix parametrization
- 3 Hadron Spectroscopy on the lattice
- 4 Quantization condition
- 4.1 Two particles in a box
- 4.1.1 Non-Interacting case
- 4.1.2 Interacting case
- 4.1.3 Solutions to the Helmholtz equation
- 4.1.4 Particles with spin
- 4.2 Symmetries of the zeta function
- 4.3 Reduced matrices and quantization conditions
- 5 Results
- 5.1 Contractions and spectra analysis
- 5.2 Spectra results: Single Hadron
- 5.3 Spectra results
- 5.3.1 Group: OhD , Irrep: G1u
- 5.3.2 Group: OhD , Irrep: Hg
- 5.3.3 Group: C4vD , Irrep: G1
- 5.3.4 Group: C4vD , Irrep: G2
- 5.3.5 Group: C2vD , Irrep: (2)G
- 5.3.6 Group: C3vD , Irrep: G
- 5.3.7 Group: C3vD , Irrep: F1,F2
- 5.4 Results for the scattering amplitudes
- 5.5 Discussion and Conclusions
- 6 Roberge-Weiss endpoint and chiral symmetry restoration in Nf=2+1 QCD
- 6.1 Numerical Setup
- 6.2 Finite size scaling analysis and order of the transition
- 6.3 Discussion and Conclusions
- 7 Conclusions
- REFERENCES